{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# DAY7 过拟合 🆚 欠拟合\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.metrics import mean_squared_error"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 生成数据集"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 导入 numpy 库\n",
    "# 提示: 需要导入 numpy，并通常以 np 作为别名\n",
    "\n",
    "# 生成训练样本\n",
    "# 提示: 使用 np.random.rand 生成一定数量的正常样本 x_train\n",
    "# 根据给定的多项式关系生成相应的 y_train\n",
    "\n",
    "# 生成数据集中的异常点\n",
    "# 提示: 使用类似的方法，生成一定数量的异常样本 x_train_noise 和 y_train_noise\n",
    "# 确保这些异常点在值上有所区别，以模拟实际数据集中的噪声\n",
    "\n",
    "# 将正常样本和异常样本合并到一个训练集中\n",
    "# 提示: 使用 np.concatenate 方法将正常样本和异常样本沿着适当的轴合并\n",
    "\n",
    "# 生成测试样本\n",
    "# 提示: 使用与生成训练样本相同的方法，但数量可能不同，生成测试样本 x_test 和 y_test\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAG6CAYAAAAWMnxMAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAABmPUlEQVR4nO3deXyTVdo//k9Kt7RN0xboQhsoBawo+6LSKnRmECoOI/OMA1/1KeIyMlr0x7iMo84oymjBBZ95lGEedQSnIyKMIg6DKIIpAuLCIiBYLaUbtBRKSRfa0uX8/jgkTdKkTdJsd/p5v155hSR30pM7pefKOde5jkoIIUBERESkIEG+bgARERGRsxjAEBERkeIwgCEiIiLFYQBDREREisMAhoiIiBSHAQwREREpDgMYIiIiUpxgXzfAUzo6OnDq1CloNBqoVCpfN4eIiIgcIIRAfX09Bg0ahKAg++MsARvAnDp1CjqdztfNICIiIheUl5cjJSXF7uMBG8BoNBoA8gRER0f7uDVERETkiLq6Ouh0OlM/bk/ABjDGaaPo6GgGMERERArTU/oHk3iJiIhIcRjAEBERkeIwgCEiIiLFCdgcGEe1t7ejtbXV180gQkhICPr16+frZhARKUKfDWCEEKiqqsL58+d93RQik5iYGCQmJrJ2ERFRD/psAGMMXuLj4xEREcEOg3xKCIELFy6guroaAJCUlOTjFhER+bc+GcC0t7ebgpf+/fv7ujlEAAC1Wg0AqK6uRnx8PKeTiIi60SeTeI05LxERET5uCZEl4+8k87KIiLrXJwMYI04bkb/h7yQRkWP65BQSERFRoBACOHcOaG4GwsOBuDigL3wX6tMjMASkpqbif/7nfxw+Xq/XQ6VS9dnVW339/RORf6msBLZsAdavBzZskNdbtsj7Ax0DGIVQqVTdXpYsWeLS63799de45557HD4+IyMDlZWV0Gq1Lv08IiJyj8pK4KOPgMJCICYGSE2V14WF8v5AD2I4hdQL3hy2qzT7TXz33Xfx5JNPorCw0HRfVFSUWbsE2tvbERzc88c7cOBAp9oRGhqKxMREp55DRETuJQSwfz9w/jwwfHhn3xMVJW8XFcnHZ80K3OkkjsC4yNvDdomJiaaLVquFSqUy3f7++++h0Wjw0UcfYeLEiQgLC8OuXbtw/Phx3HTTTUhISEBUVBQmT56MTz/91OJ1raeQVCoV3njjDfzyl79EREQERowYgQ8//ND0uPUUypo1axATE4OPP/4YI0eORFRUFLKzsy0Crra2NjzwwAOIiYlB//798eijj+L222/HnDlz7L7f0tJSzJ49G7GxsYiMjMSVV16JLVu2AJDL4O+66y4MHToUarUa6enp+Mtf/mLx/AULFmDOnDl47rnnkJCQgJiYGDzzzDNoa2vDI488gri4OKSkpGD16tWm55SUlEClUmHdunXIyMhAeHg4Ro0ahYKCgm4/m127duG6666DWq2GTqfDAw88gMbGRtPjf/3rXzFixAiEh4cjISEBN998c7evR0TUk3PngLIyICmpa4CiUsn7y8rkcYGKAYwL/HXY7g9/+AOWLVuGY8eOYcyYMWhoaMCsWbOwfft2HDhwANnZ2Zg9ezbKysq6fZ2nn34ac+fOxaFDhzBr1izcdtttONfN/4ILFy7gxRdfRH5+Pnbu3ImysjI8/PDDpseXL1+Ot99+G6tXr8bu3btRV1eHDz74oNs25ObmoqWlBTt37sThw4exfPly0yhTR0cHUlJSsGHDBhw9ehRPPvkkHn/8caxfv97iNXbs2IFTp05h586dWLFiBZ566in8/Oc/R2xsLL788kv89re/xcKFC1FRUWHxvEceeQQPPfQQDhw4gClTpmD27Nmoqamx2c7jx48jOzsbv/rVr3Do0CG8++672LVrFxYtWgQA+Oabb/DAAw/gmWeeQWFhIbZu3YqpU6d2+96JiHrS3Ay0tACXykd1oVbLx5ubvdsurxIBymAwCADCYDB0eaypqUkcPXpUNDU1Of26HR1CbN4sxEsvCbFpkxAffth52bRJ3r95szzOU1avXi20Wq3p9meffSYAiA8++KDH51555ZXilVdeMd0eMmSIePnll023AYg//vGPptsNDQ0CgPjoo48sflZtba2pLQBEUVGR6TkrV64UCQkJptsJCQnihRdeMN1ua2sTgwcPFjfddJPddo4ePVosWbKkx/djlJubK371q1+Zbt9+++1iyJAhor293XRfenq6uO666yzaERkZKd555x0hhBAnTpwQAMSyZctMx7S2toqUlBSxfPlym+//rrvuEvfcc49FWz7//HMRFBQkmpqaxHvvvSeio6NFXV2dQ++jN7+bRNR3nD0rxF//KsTatZb9kPGydq18/OxZX7fUed313+Y4AuMkfx62mzRpksXthoYGPPzwwxg5ciRiYmIQFRWFY8eO9TgCM2bMGNO/IyMjER0dbSpxb0tERASGDRtmup2UlGQ63mAw4PTp07jqqqtMj/fr1w8TJ07stg0PPPAA/vznPyMzMxNPPfUUDh06ZPH4ypUrMXHiRAwcOBBRUVF47bXXuryvK6+8EkFBnb/iCQkJGD16tEU7+vfv3+W9TZkyxfTv4OBgTJo0CceOHbPZzm+//RZr1qxBVFSU6TJz5kx0dHTgxIkTuP766zFkyBCkpaUhJycHb7/9Ni5cuNDteyci6klcHDB4sBzxF8LyMSHk/YMHy+MCFQMYJ/nzsF1kZKTF7YcffhgbN27Ec889h88//xwHDx7E6NGjcfHixW5fJyQkxOK2SqVCR0eHU8cL6/9RTrr77rtRXFyMnJwcHD58GJMmTcIrr7wCAFi3bh0efvhh3HXXXfjkk09w8OBB3HHHHV3el612OfveetLQ0ICFCxfi4MGDpsu3336LH3/8EcOGDYNGo8H+/fvxzjvvICkpCU8++STGjh3LZdhE1CsqFTBhgkxfKCoCGhqA9nZ5XVQExMbKxwM1gRdgAOO08HAgLAxoarL9eFOTfDw83LvtsmX37t1YsGABfvnLX2L06NFITExESUmJV9ug1WqRkJCAr7/+2nRfe3s79u/f3+NzdTodfvvb3+L999/HQw89hNdffx2AfF8ZGRm47777MH78eAwfPhzHjx93W5v37t1r+ndbWxv27duHkSNH2jx2woQJOHr0KIYPH97lEhoaCkCO4kyfPh3PP/88Dh06hJKSEuzYscNt7SWivikpCbjhBiA9Xa5GKimR1+npQHa2fDyQcRm1k4zDdoWFlkvXgM5hu/R0/xi2GzFiBN5//33Mnj0bKpUKf/rTn3o12uCq+++/H3l5eRg+fDguv/xyvPLKK6itre22bP7ixYtxww034LLLLkNtbS0+++wzUxAxYsQI/OMf/8DHH3+MoUOHIj8/H19//TWGDh3qlvauXLkSI0aMwMiRI/Hyyy+jtrYWd955p81jH330UVxzzTVYtGgR7r77bkRGRuLo0aPYtm0bXn31VWzevBnFxcWYOnUqYmNjsWXLFnR0dCA9Pd0tbSWivi0pSS6V7ouVeBnAOMk4bHf6tBymS0qS00ZNTTJ48adhuxUrVuDOO+9ERkYGBgwYgEcffRR1dXVeb8ejjz6KqqoqzJ8/H/369cM999yDmTNndrvbcnt7O3Jzc1FRUYHo6GhkZ2fj5ZdfBgAsXLgQBw4cwLx586BSqXDLLbfgvvvuw0cffeSW9i5btgzLli3DwYMHMXz4cHz44YcYMGCAzWPHjBmDgoICPPHEE7juuusghMCwYcMwb948AEBMTAzef/99LFmyBM3NzRgxYgTeeecdXHnllW5pKxGRSgX07+/rVnifSvQ2WcFP1dXVQavVwmAwIDo62uKx5uZmnDhxAkOHDkW4i3M9lZWySFBZmcx5CQuTIzMTJgT+sF1vdXR0YOTIkZg7dy6WLl3q6+aYlJSUYOjQoThw4ADGjRvnkza443eTiEjJuuu/zXEExkV9edjOWaWlpfjkk08wbdo0tLS04NVXX8WJEydw6623+rppRESkUAxgeqGvDts5KygoCGvWrMHDDz8MIQRGjRqFTz/91G5iLBERUU8YwJDH6XQ67N6929fN6FFqamqvl38TEZF3eHwZdV5eHiZPngyNRoP4+HjMmTPHYhNCW9asWdNlt2XmAxAREZGRxwOYgoIC5ObmYu/evdi2bRtaW1sxY8YMi83ubImOjkZlZaXpUlpa6ummEhERkUJ4fApp69atFrfXrFmD+Ph47Nu3r9tN7Yy7LTuqpaUFLS0tptu+WC5MRERE3uH1SrwGgwEAENdDpbeGhgYMGTIEOp0ON910E7777rtuj8/Ly4NWqzVddDqd29pMRERE/sWrAUxHRwcWL16MzMxMjBo1yu5x6enpePPNN7Fp0yb885//REdHBzIyMlBRUWH3OY899hgMBoPpUl5e7om3QERERH7Aq6uQcnNzceTIEezatavb46ZMmWKxI3BGRgZGjhyJ//u//7Nb+CwsLAxhYWFubS8RERH5J6+NwCxatAibN2/GZ599hpSUFKeeGxISgvHjx6OoqMhDrSMlU6lU+OCDD3zdDCIi8iKPBzBCCCxatAgbN27Ejh07XNpwr729HYcPH0ZSH67Rb72s3PqyZMmSXr02AwAiIlISj08h5ebmYu3atdi0aRM0Gg2qqqoAAFqtFmq1GgAwf/58JCcnIy8vDwDwzDPP4JprrsHw4cNx/vx5vPDCCygtLcXdd9/t6eY6xmAA6usBWyNJFRWARgNotW79kZWVlaZ/v/vuu3jyySct6ulERUW59ecRERH5M4+PwKxatQoGgwFZWVlISkoyXd59913TMWVlZRYddG1tLX7zm99g5MiRmDVrFurq6rBnzx5cccUVnm5uzwwGIDsbmDYNsE4ULi+X92dny+PcKDEx0XTRarWmZebGy7p16zBy5EiEh4fj8ssvx1//+lfTcy9evIhFixYhKSkJ4eHhGDJkiClYTE1NBQD88pe/hEqlMt221t1rAHLn69GjRyMyMhI6nQ733XcfGhoaTI+vWbMGMTEx2Lx5M9LT0xEREYGbb74ZFy5cwFtvvYXU1FTExsbigQceQHt7u+l5qampWLp0KW655RZERkYiOTkZK1eu7PZclZeXY+7cuYiJiUFcXBxuuukmlJSUmB7X6/W46qqrEBkZiZiYGGRmZrLOEBGR0ogAZTAYBABhMBi6PNbU1CSOHj0qmpqanH/h8nIh0tKEAOR1WZm8v6zM8v7y8l6+A/tWr14ttFqt6fY///lPkZSUJN577z1RXFws3nvvPREXFyfWrFkjhBDihRdeEDqdTuzcuVOUlJSIzz//XKxdu1YIIUR1dbUAIFavXi0qKytFdXW1zZ/Z3WsIIcTLL78sduzYIU6cOCG2b98u0tPTxb333mvR5pCQEHH99deL/fv3i4KCAtG/f38xY8YMMXfuXPHdd9+Jf//73yI0NFSsW7fO9LwhQ4YIjUYj8vLyRGFhofjf//1f0a9fP/HJJ5+YjgEgNm7cKIQQ4uLFi2LkyJHizjvvFIcOHRJHjx4Vt956q0hPTxctLS2itbVVaLVa8fDDD4uioiJx9OhRsWbNGlFaWtrrz8UdevW7SUQUALrrv80xgHGFdbCye7ftoMZDrAOYYcOGWQQTQgixdOlSMWXKFCGEEPfff7/46U9/Kjo6Omy+nnkAYE9Pr2Ftw4YNon///hZtBiCKiopM9y1cuFBERESI+vp6030zZ84UCxcuNN0eMmSIyM7OtnjtefPmiRtuuMFm+/Pz80V6erpFO1taWoRarRYff/yxqKmpEQCEXq936H14GwMYIurrHA1gvF7ILiDodIBeD6SlAcXFQGamvE5Lk/d7sYheY2Mjjh8/jrvuugtRUVGmy5///GccP34cALBgwQIcPHgQ6enpeOCBB/DJJ584/XN6eo1PP/0UP/vZz5CcnAyNRoOcnBzU1NTgwoULpmMiIiIwbNgw0+2EhASkpqZa5O8kJCSgurra4rXNl9Qbbx87dsxmO7/99lsUFRVBo9GYzkVcXByam5tx/PhxxMXFYcGCBZg5cyZmz56Nv/zlLxbTl0REpAwMYFyl0wH5+Zb35ed7NXgBYMozef3113Hw4EHT5ciRI9i7dy8AYMKECThx4gSWLl2KpqYmzJ07FzfffLNTP6e71ygpKcHPf/5zjBkzBu+99x727dtnylO5ePGi6TVCQkIsXlOlUtm8r6Ojw7mTYKahoQETJ060OBcHDx7EDz/8gFtvvRUAsHr1anzxxRfIyMjAu+++i8suu8x0roiISBm8WsguoJSXAzk5lvfl5Hh9BCYhIQGDBg1CcXExbrvtNrvHRUdHY968eZg3bx5uvvlmZGdn49y5c4iLi0NISIhF4qyzr7Fv3z50dHTgpZdeQlCQjInXr1/vtvdoHVzs3bsXI0eOtHnshAkT8O677yI+Ph7R0dF2X3P8+PEYP348HnvsMUyZMgVr167FNddc47Y2ExGRZzGAcUV5OZCV1TltlJ8vg5fiYnm/l4OYp59+Gg888AC0Wi2ys7PR0tKCb775BrW1tXjwwQexYsUKJCUlYfz48QgKCsKGDRuQmJiImJgYAHKlz/bt25GZmYmwsDDExsZ2+Rndvcbw4cPR2tqKV155BbNnz8bu3bvxt7/9zW3vb/fu3Xj++ecxZ84cbNu2DRs2bMB//vMfm8fedttteOGFF3DTTTfhmWeeQUpKCkpLS/H+++/j97//PVpbW/Haa6/hF7/4BQYNGoTCwkL8+OOPmD9/vtvaS0REnscpJGdVVFgGL3o9kJFhmROTlSWP85K7774bb7zxBlavXo3Ro0dj2rRpWLNmjalooEajwfPPP49JkyZh8uTJKCkpwZYtW0yjJS+99BK2bdsGnU6H8ePH2/wZ3b3G2LFjsWLFCixfvhyjRo3C22+/bbHEurceeughfPPNNxg/fjz+/Oc/Y8WKFZg5c6bNYyMiIrBz504MHjwY//Vf/4WRI0firrvuQnNzM6KjoxEREYHvv/8ev/rVr3DZZZfhnnvuQW5uLhYuXOi29hIRkeephBDC143whLq6Omi1WhgMhi5TCc3NzThx4gSGDh2K8PBw517YWAemurrrSItxZCY+Hti61e3F7Pqi1NRULF68GIsXL/Z1U7yiV7+bREQBoLv+2xynkJyl1crgxFYlXp0OKCjwSCVeIiIi6sQAxhVarf0AxcmNKomIiMh5DGDIr5lvAUBERGTEJF4iIiJSnD4dwARo/jIpGH8niYgc0ycDGGP1V/My90T+wPg7aV2hmIiILPXJHJh+/fohJibGtOdOREQEVCqVj1tFfZkQAhcuXEB1dTViYmLQr18/XzeJiMiv9ckABgASExMBoMvGgUS+FBMTY/rdJCIi+/psAKNSqZCUlIT4+Hi0trb6ujlECAkJ4cgLEZGD+mwAY9SvXz92GkRERArTJ5N4iYiISNkYwBAREZHiMIAhIiIixWEAQ0RERIrDAIaIiIgUhwEMERERKQ4DGCIiIlIcBjBERESkOAxgiIiISHEYwBAREZHiMIAhIiIixWEAQ0RERIrDAIaIiIgUhwEMERERKQ4DGCIiIlIcBjBERESkOAxgiIiISHEYwBAREZHiMIAhIiIixWEAQ0RERIrDAIaIiIgUhwEMERERKQ4DGCIiIlIcBjBERESkOAxgiIiISHEYwBAREZHieDyAycvLw+TJk6HRaBAfH485c+agsLDQ4eevW7cOKpUKc+bM8VwjiYiISFE8HsAUFBQgNzcXe/fuxbZt29Da2ooZM2agsbGxx+eWlJTg4YcfxnXXXefpZhIREZGCBHv6B2zdutXi9po1axAfH499+/Zh6tSpdp/X3t6O2267DU8//TQ+//xznD9/3sMtJSIiIqXweg6MwWAAAMTFxXV73DPPPIP4+HjcddddDr1uS0sL6urqLC5EREQUmLwawHR0dGDx4sXIzMzEqFGj7B63a9cu/P3vf8frr7/u8Gvn5eVBq9WaLjqdzh1NJiIiIj/k1QAmNzcXR44cwbp16+weU19fj5ycHLz++usYMGCAw6/92GOPwWAwmC7l5eXuaDIRERH5IY/nwBgtWrQImzdvxs6dO5GSkmL3uOPHj6OkpASzZ8823dfR0QEACA4ORmFhIYYNG9bleWFhYQgLC3N/w4mIiMjveDyAEULg/vvvx8aNG6HX6zF06NBuj7/88stx+PBhi/v++Mc/or6+Hn/5y184NURERESeD2Byc3Oxdu1abNq0CRqNBlVVVQAArVYLtVoNAJg/fz6Sk5ORl5eH8PDwLvkxMTExANBt3gwRERH1HR4PYFatWgUAyMrKsrh/9erVWLBgAQCgrKwMQUEsCkxERESOUQkhhK8b4Ql1dXXQarUwGAyIjo72dXOIiIjIAY723xz2ICIiIsVhAENERESKwwCGiIiIFIcBDBERESkOAxgiIiJSHAYwREREpDgMYIiIiEhxGMAQERGR4jCAISIiIsVhAENERESKwwCGiIiIFIcBDBERESkOAxgiIiJSHAYwREREpDgMYIiIiEhxGMAQERGR4jCAISIiIsVhAENERESKwwCGiIiIFIcBDBERESkOAxgiIiJSHAYwREREpDgMYIiIiEhxGMAQERGR4jCAISIiIsUJ9nUDiIjIvwgBnDsHNDcD4eFAXBygUvm6VUSWGMAQEZFJZSWwfz9QVga0tABhYcDgwcCECUBSkq9bR9SJAQwREQGQwctHHwHnz8tgRa0GmpqAwkLg9GnghhsYxJD/YA4MERFBCDnycv48MHw4EBUF9Osnr4cPl/fv3y+PI/IHDGCIiAjnzslpo6SkrvkuKpW8v6xMHkfkDxjAEBERmptlzotabftxtVo+3tzs3XYR2cMAhoiIEB4uE3abmmw/3tQkHw8P9267iOxhAENERIiLk6uNKiu75rkIIe8fPFgeR+QPGMAQERFUKrlUOiYGKCoCGhqA9nZ5XVQExMbKx1kPhvwFl1ETEREAmah7ww2ddWBOn5bTRunprAND/ocBDBERmSQlAbNmsRIv+T8GMEREZEGlAvr393UriLrHHBgiIiJSHAYwREREpDicQqJucVdaIiLyRwxgyC7uSktERP6KAQzZxF1piYjInzEHhrrgrrREROTvPB7A5OXlYfLkydBoNIiPj8ecOXNQWFjY7XPef/99TJo0CTExMYiMjMS4ceOQn5/v6abSJdyVloiI/J3HA5iCggLk5uZi79692LZtG1pbWzFjxgw0NjbafU5cXByeeOIJfPHFFzh06BDuuOMO3HHHHfj444893VwCd6UlIiL/pxLCuxMBZ86cQXx8PAoKCjB16lSHnzdhwgTceOONWLp0qUPH19XVQavVwmAwIDo62tXm9kk1NcD69XJPlKioro83NMhppLlzWeyKiIjcy9H+2+s5MAaDAYAcZXGEEALbt29HYWFhtwFPS0sL6urqLC7kGu5KS0RE/s6rAUxHRwcWL16MzMxMjBo1qttjDQYDoqKiEBoaihtvvBGvvPIKrr/+ervH5+XlQavVmi46nc7dze8zuCstERH5O69OId1777346KOPsGvXLqSkpHR7bEdHB4qLi9HQ0IDt27dj6dKl+OCDD5CVlWXz+JaWFrS0tJhu19XVQafTcQqpF1gHhoiIvM3RKSSvBTCLFi3Cpk2bsHPnTgwdOtTp5999990oLy93OJGXOTDuwUq8RETkTY723x4vZCeEwP3334+NGzdCr9e7FLwAckTGfISFvIO70hIRkT/yeACTm5uLtWvXYtOmTdBoNKiqqgIAaLVaqC+t050/fz6Sk5ORl5cHQOazTJo0CcOGDUNLSwu2bNmC/Px8rFq1ytPNJSIiIgXweABjDDqsc1dWr16NBQsWAADKysoQFNSZT9zY2Ij77rsPFRUVUKvVuPzyy/HPf/4T8+bN83RziYiISAG8XgfGW5gDQ0REpDx+WweGiIiIqLcYwBAREZHiMIAhIiIixWEAQ0RERIrDAIaIiIgUhwEMERERKQ4DGCIiIlIcBjBERESkOAxgiIiISHEYwBAREZHiMIAhIiIixfH4Zo5ERERKIARw7hzQ3AyEhwNxcYBK5etWkT0MYIiIqM+rrAT27wfKyoCWFiAsDBg8GJgwAUhK8nXryBYGMERE1KdVVgIffQScPy+DFbUaaGoCCguB06eBG25gEOOPmANDRER9lhBy5OX8eWD4cCAqCujXT14PHy7v379fHkf+hQEMERH1WefOyWmjpKSu+S4qlby/rEweR/6FAQwREfVZzc0y50Wttv24Wi0fb272bruoZwxgiIiozwoPlwm7TU22H29qko+Hh3u3XdQzBjBERNRnxcXJ1UaVlV3zXISQ9w8eLI8j/8IAhoiI+iyVSi6VjokBioqAhgagvV1eFxUBsbHycdaD8T9OBTC1tbWIiIiASqXC+vXruz32T3/6E1QqFdLS0iCYvk3k14QAamqAkyflNf/LUl+SlCSXSqeny1VHJSXyOj0dyM7mEmp/5VQdmNjYWMydOxdvvfUWXnvtNcydO9fmce3t7Vi9ejUA4O6774aKoSuR32IBLyL5uz5rFivxKonTU0j33nsvAGDHjh0oLi62ecyWLVtw8uRJBAcH48477+xdC4nIY4wFvAoL5RB6aqq8LiyU91dW+riBRF6kUgH9+wPJyfKawYt/czqAufrqqzFu3DgIIfD666/bPOa1114DAPziF79AYmJi71pIRB7BAl5EpGQuJfEaR2HWrFmD1tZWi8dOnjyJjz76CACwcOHCXjaPiDyFBbyISMlcCmBuvfVWaDQaVFVV4d///rfFY2+++Sba29sxdOhQXH/99W5pJBG5Hwt4EZGSuRTAREVF4b//+78BdE4XAUBHRwf+/ve/AwB+85vfMHmXyI+xgBcRKZnLdWCM00jbtm1DSUkJAOCTTz5BaWkpgoODcccdd7ilgUTkGSzgRURK5nIAM3r0aGRkZFiMuhiTem+66SYm7xL5ORbwIiIl61UlXuMozJtvvomTJ0+a8mHuueee3reMiDyOBbyISKlUohdlcltaWpCcnIyamhpMnToVO3fuxNChQ3H8+HGf57/U1dVBq9XCYDAgOjrap20h8ndCsIAXEfkHR/vvXo3AhIWFYcGCBQCAnTt3AmDyLpESsYAXESlNrzdz/O1vf2sKWJi8S0RERN7Q6wBm+PDhGDduHAAm7xIREZF39DqAqaqqwuHDhwEweZeIiIi8o9cBzN/+9je0tbVh+PDhrLxLREREXtGrAOabb77BSy+9BAB48MEHmbxLREREXhHsypNSU1PR0tKCqqoqAMD48eNx9913u7VhRERERPa4FMCUlpYCABITE5GdnY1ly5YhJCTErQ0jIiIisselAKYXte+IiIiIes2lAIaIiIi8ixWzLTGAISIi8nOVlcD+/UBZGdDSAoSFyd3iJ0zou3uWMYAhIiLyY5WVwEcfyY1Wk5IAtRpoagIKC4HTp+WGrH0xiOl1HZie5OXlYfLkydBoNIiPj8ecOXNQWFjY7XNef/11XHfddYiNjUVsbCymT5+Or776ytNNJSIi8itCyJGX8+eB4cOBqCigXz95PXy4vH//fnlcX+PxAKagoAC5ubnYu3cvtm3bhtbWVsyYMQONjY12n6PX63HLLbfgs88+wxdffAGdTocZM2bg5MmTnm4uERGR3zh3Tk4bJSV1zXdRqeT9ZWXyuL5GJby8pOjMmTOIj49HQUEBpk6d6tBz2tvbERsbi1dffRXz58936DmObsdNRETkr06eBDZsAFJT5ciLtfZ2oKQE+PWv5W7ygcDR/tvrOTAGgwEAEBcX5/BzLly4gNbW1m6f09LSgpaWFtPturo61xtJRETkB8LDZcJuU5OcNrLW1CQfDw/3ftt8zeNTSOY6OjqwePFiZGZmYtSoUQ4/79FHH8WgQYMwffp0u8fk5eVBq9WaLjqdzh1NJiIi8pm4OLnaqLKya56LEPL+wYPlcX2NVwOY3NxcHDlyBOvWrXP4OcuWLcO6deuwceNGhHcTYj722GMwGAymS3l5uTuaTERE5DMqlVwqHRMDFBUBDQ1y2qihQd6OjZWP98V6MF6bQlq0aBE2b96MnTt3IiUlxaHnvPjii1i2bBk+/fRTjBkzpttjw8LCEBYW5o6mEhFRDwKpqJq/v5ekJLlU2lgH5vRpOW2Uns46MB4lhMD999+PjRs3Qq/XY+jQoQ497/nnn8ezzz6Ljz/+GJMmTfJwK4mIyFGBVFRNKe8lKQmYNcu/Ay1v83gAk5ubi7Vr12LTpk3QaDSmHay1Wi3UajUAYP78+UhOTkZeXh4AYPny5XjyySexdu1apKammp4TFRWFKFtZTERE5BWBVFRNae9FpQL69/d1K/yHx3NgVq1aBYPBgKysLCQlJZku7777rumYsrIyVFZWWjzn4sWLuPnmmy2e8+KLL3q6uUREZIcvi6oJAdTUyGXFNTW9/xksEKd8XplC6oler7e4XVJS4pnGEBGRy5wpqubOkQJnp3kcyWnx1Xsh9+FeSERE5JDmZhlAXJr970KtllMvzc2d93V0AMePAwYDoNUCw4YBQU6M/Ts7zeNosOPKeyH/wgCGiIgc4mxRtYMHgY0bZbBhHA1JTwd++Utg3Lief571NI9xpMQ4zVNUJB+fNUs+5kywwwJxyufVOjBERKRczhRVO3gQ+N//ldcDBgAjR8pr8/t74sw0j7M5LSwQp3wMYIiIyCGOFlUTQo681NQAo0bJ+4OD5fWoUfL+jRvl9FJ3HJnmaWmRxzm76aEzBeLcnUBM7sEpJCIicpgjRdV+/FFO2+h0XfNdgoLk/YWFMjdmxAj7P8uZaR5XcloceS8O5dQYDEB9PWCrSGtFBaDRyAQgcisGMERE5JSeiqoZDPJ+jcb28zUa2a9f2tvXLuM0T2GhZQ4M0DnNk54ujzt3zrWclu7ei0M5NREGIDsbqK4G9HoZnRmVlwNZWUB8PLB1K4MYN+MUEhFRgPHGlIexqFpysrw2Dy60WhkI1Nfbfm59vXy8p/7cmWme3uS02HovDufU1NXL4KW4WAYrxn34jMFLcbF83N7JIJdxBIaIKID4Q2n8YcPkyMjBgzJIUankyEV7u/x3WRkwfrw8rieO7gNkDHZOn5bBjfmISWWl85seOpxTc00K+uv1ncFKVhaQnw/k5MjbaWlyZMbBPQDJcQxgiIgChL+Uxg8Kkkuly8uBb74BQkKAixeBCxfktFFiInDttY7Xg3F0HyB3bnroVE6NTieDFGMQk5kpDzIGL+bTSuQ2DGCIiAKAszVTPG3cOOCWW4BXX5XBRFAQEBEhk3ZTU2VwU1npeFDh6D5A7tr00Ok6MTqdHHkxBi+AvM3gxWMYwBARBQB/K40vhBx1ue46IDJSBhNqdWf7PBlQuWPTQ2cSiAHIiCwnx/JFcnI4AuNBTOIlIgoAztRM8QZjQJWcLNM/hg+X/w4Ksl2Xxd84k0BskbCblgbs3i2vrRN7ya0YwBARBQDzKQ9bvF0a398CKlcYc2rS0+XUXEmJvE5Plyunk5Ig14ObBy96PZCRIa/Ng5iKCt+9kQDFKSQiogDg9JSHh7lrryFHdpb2pB5zajQaWecFsJwuMk/sjY+3XxSHXMYAhogoQKSmAt9/D3z7rVyiHBHh+jLi3nJHQOUPS8KBHnJqtFpZpM5WJV6dDigoADQaiGgtztX4LhALRAxgiIgUzryjb2iQy3urquQX//h415YR91Zv67L4y5Jwh2i19qvypaTIz2eX7wOxQMMAhohIwaw7+qQkWW/l+HG5+mfqVOCKK3zzbd/Vuiz+tiS8NxQViCkMAxgiIoWy19FrNMDYsbKjLymRAYynfr4jxeWcrcvib0vCXdWbQMzXuT9KwACGiEihfNnRO5Of4mxdFker4DY1yb2e/LWTd/Xz8ZfcH3/HAIaIyM/Z+zbuVLl7N/L0tIgjK5iamoDPP5dt8NdO3pXPh1NOjmMAQ0Tkx7r7Nu6upcrO8EZ+Sk8rmL7/Xv780FBg0CD7nbyvp2FsfT5CyAVLra2yUnFoaOfnE0i5P97AAIaIyE/19G08O9v7tV+8MW3V3QqmU6fkhpCxsXJfJXud/PjxwIEDvp2GsQ7EamtlXbvqahnA1NYCo0bJ9gGBk/vjLQxgiPowX39DJfsc+TZ+4IDsqF1dquwKb01b2VvBNGiQ7PyHDLHfyR86JFdhtbV1Mw0TYbBduwWQVXM1GvtLox1kHojt3y8/k4sXO/eGGjBAHrd1q2xTR4dvpgSVigEMUR/FREH/JYQMSA4dsv1N2/zb+DXXuLZU2VXenLaytYKpqUm+R3udfHi4HOUYNAiYONF24HfocwMSX86Gqrq662aLxn2N4uNlZNHLICYpSY6U/d//AWfPyr2V2tvljxw2TAaZxlGjq6/2/pSgkjGAIeqDmCjoXu4cyTIGlocOAV9+CSQkyMuwYZZTQebfxpOTnV+q7Cpvb1lgvYKppqb7Tv7MGTmwkpxsf4TmdFE9Oqqq0a/k0j5FxiDGfFNGQL5QLwMYQLY3IUG2KTQUCAmRAzzG9hmD0auv9q/tIPwdAxiiPoaJgu7lzpEs88Cyf3/Z6YWEACdPyvsmTuzsvKy/jTu7VNlVva2w21s9BVAnTwLR0cDAgbafr1YDpyNScGa9Hon/L6tzs8X8fCAnx3JTRlvTSy5obpZTR4MGAf362WnTafn748tzqzTcjZqoj3EmUZC6Zww4Cgvl1EBqqrwuLJT3V1Y6/lrWgWViorw0NcnrxkaZ1yFE57fxwYN9823coV2aPcQYQMXEyE6+oUFOyTQ0yNsDBsj4w16eiDHwC0nTWe4YnZlpGbyYTyv1kjM7hfvy3CoNR2CI+hhf1Q4JNO4eybIVWKalyZUqVVWdn0tVleysff1t3JUKu+782fbyfoyrjxyahumvkyMvmZmdB+XnuzV4AZyfduvu3PZmujLQkvYZwBD1Mb6oHRKI3L3k1TywNNYKEQK47DK57Pb0aXmpqQHGjHF+isoTnZe3pq1s6a6TV6kcnIYpL5fTRuZyctw+AuPKtJutc9ub6cpATNpnAEPUx3g7CTNQuXskyxhYnjoln2esFRISIvM5hg2TU1Q339z1c+uJuzovf/sGby+AcmgTSfOE3bQ0yxwY88ReN3F1Y0uj3iTeB2rSPgMYoj7G10mYgcLdI1lxcfJ1Nm+WdULi4uTzW1pkWZLGRuDnP3cteHFH56W0b/DdTnFVVFgGL8ZgRa/vvD8rCygocFsib49t6oZxurK2ViZ2t7TImjEajWObQgZq0j4DGKI+qLffBkkZI1kdHbJPLi2VVWsjI2U7ne28lPoN3u4Ul0Yj67wAliMt5kFMfLw8zltt6sa5c8Dhw/K6qKhzZC4+XsZf3U1XBnJ1XwYwRH2UL5MwA4G7R7LOnZPJudOmyUTdM2dkwBASIgcBEhPl4452NJWVsi/etEm+RnV151SU8XN2pPMKyG/wWq0sUmerEq9OJ0de3FCJ111KS4GDB+XvV//+liNztbXAuHHytq3pykBO2mcAQ9SH+TIJMxC4cyTL2NGkpso+1bjhn7HoWUeHXFLrSEdjHDEpLe0MgFpbu9aTcaTzCthv8Fqt/QDFjdNGvSWEHOlqbZWF8IyBiFotv3RUVsrNLVNT5W3rPKWwsMBN2mcAQ0TUC+4aybLOqYmOtnzc0Y7GesSkrEx+S4+MlKM4VVWynkxsrGOvGcjf4JXg3Dn5+aWlyX+r1Z2/WyqVrIdz/LhcPt7SAmzZYpmnpNPJ36fKSv+d6nQVAxgiol5yx0hWdzk1HR1yqmbw4M5CdvYCJOOISXg48MMPnUuvY2NlZxcbK6eTTp6Uwczll8v77OGye98yVvEdOVJOIxmnJ43TSOfOye0J+veXs2LWeUo//ND5WoGWtM8AhojID9jLqTl1So6oGFeebNjQ/eqf5mYZoJw5IzupwYOBoCCZP1NVJV//4kW5ijg6WgYeH31k//WUkKwcyIwBpFotp/6OH7fMjxowQJ77mpru85QGDpTBSlmZfI1+/eS007Rp/pmA7QgGMEREfsI6p+aHH2TnExYGTJki99LpafVPWJh8rK5OdlAqlewEjcFLcbHsvMaPl0GLWt3963HZvW9ZB5CTJnXmRwUHy89l0CA5zdRdntL58/Izr68HDAYZDNfWyqrFxmOUhnshERH5EWNOza9/DQwdKivxzp4tcxn69ev8Vn3+vAx0hOj6GtadmEYjVx9ptXLUJS0NuOYa+a3ckdfrq/vzCCFHNk6elNe2zo2nWe/91Ngo85nCwuRIW1yc/BwuXuw+T6m6Gvj4Yxl0pqYCV14pg09n9+3yh3NixBEYIiI/YyyH39gog4ugoK6P21v909Ii64MEBVnmS5w/LzuxQYPk8W1tjr2eUV9bdu9Phft6Wu0WGtp9ntKFC/I5QUHA2LGuL4X3p3MCMIAhIvJLrq7+CQ+XAczAgZ1bEpw/L19Lo5HfvoOCZP6EI69nrq8su/fHwn09bfDYXZ7S8ePyvmHDXF8K74/nhFNIRER+yHz1jy32Vv8Ycyaam+U342uvlZfMTDkl1dgogxvrIrNcTSRZL0OPinJ86s7TjAFkcrK8Nl9ObT7N1NAAtLfL66IiOeUUHw9ERNh+XbXafiE8wH/PCQMYIiI/ZAxEKiu7dgzG1T+DB3dd/WPemR0/LkdbYmJk7ktbm0z+TEuzvZrI1uv1Nc4U7vMn3eUpzZwpAxhng2Ejfz0nnEIiIvJDzqz+sa6+mphoO2di2jS5BPfcuc6luVxNZMmvC/cZDLa3PwCAigokaTSYNUvbZZoJkAGNqzWG/PWceDyAycvLw/vvv4/vv/8earUaGRkZWL58OdLT0+0+57vvvsOTTz6Jffv2obS0FC+//DIWL17s6aYSEfkV8+TNqkIDGuvq0ZqQYrFVQWUlcPSTCpTUaFAfpLVIrDTmTDQ1yYtaLfvAEydkHRhu4tmV3xbuMxjkkq/qassNKAH5YV7agFK1dSv69++6RUJvagz56znxeABTUFCA3NxcTJ48GW1tbXj88ccxY8YMHD16FJGRkTafc+HCBaSlpeHXv/41fve733m6iUREfispCZiVaUDbkmyozlSj/kM9YkbroFLJ4GXn2+WYuSwLY2PjsXfJVtQHaS0SKwHg22+7lpefOlVOLQX6aiJnGEcgIiNlRz9mjOUKMJ8W7quvl8FLcbEMVoxBjDF4KS7uPM7GHk+9qTHkr8UMVUJ4N+3mzJkziI+PR0FBAaZOndrj8ampqVi8eHGPIzAtLS1oaWkx3a6rq4NOp4PBYEC09aYiRERKUlEh53+Ki2UCi14PkaLDjrfKMfHhLMTUFKMxMQ17nitA84AUCNFZfbW1tevKkcpKGbz4YuWIvzJfIlxd3dm5T5jQ2bkbp9p8VvvGPFhJSwPy84GcHIvfC4uRGRuMdVy2bJGbfdoK0oqKZEBivqza3iokT5yTuro6aLXaHvtvryfxGgwGAECcm0O1vLw8aLVa00XXw4dIRGSLK4W6PF7cKyVFdk5paaZv4HVb92DSI2bBy7N6NA+QuREqlcyD2btXtsmfVo74I2PnXFgoA7uxY+WoBAB88YUcwfKLwn06neXvQWamU8EL4HyNISN/LGbo1STejo4OLF68GJmZmRg1apRbX/uxxx7Dgw8+aLptHIEhInKUK4W6KiuBffuAY8c6q6SOHCn3rXHrH3Vj53XpG7h2ViYAoDHhUvAy0PLvXVubnAq44grXa3/0BdZLhI3nSqeTy5UPHZK/AzfeaLl02Wd0OjnykpnZeV9+vkPBi5GrSbn+VszQqwFMbm4ujhw5gl27drn9tcPCwhAWFub21yWivsH4Lby2VtZI0WhkLY3vv7dfqKuyEnjnHeDoUZkEaVRYKHMMbrnFA0GMVee15978LsELIFMhgK71XgDZabe2yvdVWdm3c2C6WyIcFNQ5WmUcufC58nI5bWQuJ8fhERigd0m5/lTM0GtTSIsWLcLmzZvx2WefIcXWEjAiIh8xfgsvK5OLPQ4ckFMHBw7I22VlXadbhAA+/RT48ksZvMTFyU4wLk7e/vJL+bhbp2hsdF6TX8lBWHV5l/dz7pys/RFs9TX13Dngm29kf3fkiAzatmxxfC+cQOPIaER3Rd68yjoHZvdui2lFlJf39AoAXK8x5G88HsAIIbBo0SJs3LgRO3bswNChQz39I4kowLk75+TcOeDwYfmH++RJOQ2UkCCvT56U9x8+bJkTUFMjc0xCQmSSp1otv7Gr1fJ2SIh8vKamd20zsdF5tQ1JQ0xNMa56NAsdpeUW1VeTk4GpYw1o+L7CdH7OnZPTXTXFBqRUfo2xqQYkJ1tt6FdRIaO2PsLVisdeV1Fh+fnr9UBGRpfcKFRU9PhSPVXuVUpNII9PIeXm5mLt2rXYtGkTNBoNqqqqAABarRbqSyHv/PnzkZycjLy8PADAxYsXcfToUdO/T548iYMHDyIqKgrDhw/3dJOJyI95YkO5pib597+1VXb8xj/carXsuE6elI+bd3JVVXIKZvBg2zkm8fGyjVVVwIABrrXLxFbnpdMh+HM92q7LQkxpMbKezsKG3AJTnZiJww2Iuy0bzWXVWLdQj6iROvz4I9BUZcAT238CXe1hnD82Bl9N2oGo4VoUFQFHPy5H4tIsqOLjga1bbS7HDTT+ukS4C41G/lIBltNF5rlR8fG25wxt6GmDSCWsTvN4ALNq1SoAQFZWlsX9q1evxoIFCwAAZWVlCDJLhT516hTGjx9vuv3iiy/ixRdfxLRp06DX6z3dZCLyU65uKGddqdY656OpCairk4GGrWAkMhI4e9b+t3SP66bzCv5cD5GVhYi4eMyap0FY/KX3d7IeqK1G6Jli3PZGFvLv1OP7Qh3GthRCd/4w+ok2xFYcQmRFIQzpV2FYaDkmPZIF1dnu64kEGmcqHvuUViuDSluVeHU6oKBA/p448Zn5W1KuszwewDhSZsY6KElNTXXoeUTUd9hbLWJcFlxUJB83r10BODZio1bLv/2NjXJY3fpbeGOjfNw8TyIxUcYU1dVyh2fr51RXy8cTE93w5nvovFQFBQjRaDDIvPMyLr3OykJkcTHu/EcWQmbkY+6/c9Cvow0d/YIR1N6GiS/dggO/y8f4FTmIPFuMtiFpCNbrbZerD1CKGY3Qau0HKC5+Xv6UlOss7oVE5Kd6GjXoa5zZUM74B9nRERu1Ws7MnDjR+a07LEwGPLW1QGioDFLMA5j+/WWtkM2bZUn2uLjO55w7J6ejpkxxY+fgSudlNr0QWlyMu968tPQ6MQ37HlqLiS/disiqYlz7qLzfMCANHR/qEdsHS1D4y2gE/987jgEMkR/yRJ6H0jlbu8KZEZu4OFmRtLlZriA6e1Y+z5igGxQkHzfPg1CpgOnT5eaIR49aJvgGBQHXXCMf93nnY2Pp9f7F+TCkX40Dv8s3BS8A8N2j+Zgyuu8FL0a+Ho2w9f8+rb8B44bVI2Gi7Q0cnZ02CiQMYIj8jKt5HoHO2doVzo7YGPMgzp2TIzDt7bJybUdH5+PWr5OUJGu9eKWQnatsLL0e/UIOvvz/1mL8Ssv7r3o1B6p5eqeKopF72Pp/31ZjwOjfZ0N9oRqnt+iRMMn2Bo59JeHamte3EiAi+6xHDVj+vZOztSucre+RlCSDlPp64KuvZImNr76St8ePtx+MJCXJKq133gn85jfy+sYb/Sh4sbP0evqSaxF5uhiGAWnY84K8P7jUuXoi5B72/t9rg+qhbalG9JliRM3Ogii79LmYf67V1Z1VC/sYBjBEfsSZUYO+xtnaFc7W9zAO30dHAz/9KTB7tryOjpb3d1fozTj1kJzsJ+XmAbt1Q4LXvwMRHIx+HW0QwcEQa9/BlIcyEPy53ul6IuQe9v7fNw9IwZ5n9aiPT0NkVTE6pmUBe/Z0/Vz7UMK1OQYwRH5EUVVBfcCZDeWcGbEx/wY8YoR8nfh4eT1ihEJHvoxLr603+ktPh2r0aCA4GKoxYxBzVbrsNM03CnSingj1Xnf/75sH6rDnWT3O909DvxLXNnAMVMyBIfIjvdmjxOcMBtvLfAG3Jhs6ulrEmfoeNTXOr3Dye/aWXmu1wGefyc2aLrvM8jNxsZ4I9U5P/+/PReqwY0E+/usl1zdwDEQcgSHyI4rdo8RgkEMg06Z1zZ8oL5f3Z2e7rUS9o1M2jo7YBOzIl1ZrO6DUaoHJk20HKSkpDF68rKf/9/VHyzHzbRsbOPbxXCWOwBD5EcVUBbVWXy+TCY35E8ahbfNkQ+NxbuwcHamZ4ciIjaJHvkjxuvt/X3+0HP/v/7IQeebStFF+vgxerP+v9UEqEaAlb+vq6qDVamEwGBAdHe3r5hA5RZF1YKxXvJj/ofXAfL07z5EQckdme/vhFBXJURvrKr9E7mT9Ox13oQK/emUaIqus/g9Z/18rKAioRF5H+28GMER+SpEVOa1HXAC0p6bhzHo9QtJ0bnsP9mrlVFbKVUqu1Mrp7jVjY7smCXuEl/KIyH+Z/79XXzQg9tZsqKqru34BCOA6MAxgPBzACCET/y5tro3ERD9aPknkS3v2WFR9ff+h3ShLyXDbKJInR0u8MfJlNzA15hH1sc6KetAHg1pH+2/mwLigshL49FPgiy/k3xoASEjoLB3ut0P8RJ5mo+rr9fk52POsHucidW6pJuzKnkiO8vR+ON0GSO2+ySMiP+eBDRwDBVchOamyEnjnHbmBW12d/OMzeLAMkjdvlo91V/CKKGCZdbSNiWl4Z9FuNCamQVNdjGv/lIUBTeVuqSbsrhVDxlHUkyfltbE9nipKZ5yiKiyU01ypqfK6sFDeX9kvpbMOizGIYdEyIrsYwDhBCLnnydGjcr+T1FR5bf7vo0flMYE5MUdkh1nV1/bUNLy3SA9kZGDPs3o0JsoqohlPZEFdU9HrasLOVti1pbJSTkOtXw9s2CCvt2zx3JcPh7eISNFZBjEsWkZkFwMYJ5w7Jzds6+joOqysUsn7OjrkMX2x1Dv1YWZVX8+sl9NFanVnFdHGxDS0aOPRptb0uqaKo7VyYmNtj7D0OBJiJ4ixN2LjCKe2iDDuHm2ORcuIumAOjBOam+Vus4D8hmfNeF9jowILXhH1hlnV1xB1CsK+6ayp0jxQhz3PFaBNrUFbpBZNDb2rqeJIrZzkZBmMWOeajB8PHDjQORJiDCaMIyFFRXIkxDoBuLfJvY5Me50+fenvho08IuTkcASGyApHYJwQHi6niQD5x8hICODCBeDsWfkHKCKCBa+oD7pU9dXWCEnzgBS0RWrdVk24uwq748fLYMPWCMu//gUcPuzcZpmujtiYc3TaK6Km6+7RFjkxfbzyKpE5BjBOiIsDRo4EgoLkHzgh5IKAoiLgu+/kN7uSEjkCYx7gEPUlzu4a7SrjiqG5c4Ff/1pe33CDnOKxl2tSUyNjAXtfMKyntxzOXelhOsmRaa/LIioQ88usLrtHd0ns5S7RRAAYwDhFpQImTgSuuEIGKceOyaTdykoZyISGAsOGyWO3buVqJFI+V/M+nNk1ujesVwzV1nafa5KcLFcPnjlj+/WsE4Cdyl3poZ09BXVXXqOBytbu0dwlmsgm5sA4KSkJuOUWYMAAYN06WcguMlJ+w0pPB8aOlX+M7M2lEylFb/M+PF1TxZaeck0GDpT9/8mTsvikdRG8ykr5/9g4veVU7koPjEGd8ZyePi3PaXq6PKeJSXZ2jwa4SzSRDQxgXGD8w3z6tPyjFxEhgxaNpvMPYm+KaRH5mr2y+s4WojOOkHhLT5syNjfLgYzISMc2y3T3Jo89BnUsWkbkME4huailBQgJAS67DBgyBIiOtvw219ulokS+4q68D19wJNdkzBjg5psdm95ydMm2MwnJniqUR9TXcATGRe7+ZkbkLzxZqr83HNnc0pEl1uPHy/+bY8fKLyBqtby4+nruSEgmIucxgHGC+R/QsDA5Lf3DD7Y3lLOeSydSCnfmfbiLM/k43eWaJCfL1YK2XsdeENJT7gr3PiPyDQYwDrL1B9Q48sJvZhRI/G100ZV8HFu5Ji0tMkfWlbweXyQkE1H3mAPjAHuFrIxLMQcO9OxSUSJv8kTeh6t6k49jnmsSF2dZgdeVvB7mrhD5F47A9MD6D6it0uOxsfLbW0sLv5mR8vlT3oe78nH8Na+HiFzHEZgeOPKHr7y8s0gWv5lRIPBWIbqeOJKP48hqP3e9DhH5D47A9MAfExqJvMEf8j7clY9j/TrGbUBaW2U5BJWKqwaJlIYBTA8c/QOqvmgAKmxU0ATk3iWsoEkK5O1CdNaM+TiFhb1b7Wf+OnFxwIkTQHV1ZwDT2gpMm8ZVg0RKwimkHjiS0JjW34DYW7PlX0Dr3WLLy+X92dmAweC9hhMFAHdtDGl8HUAm5B8/LkdPo6PlSEx9vUzKr6ry+FsiIjdhANMDR/6AjhtWD1V1ddct78vL5e3iYvl1r77eh++EAoWrGywqlbvycRITO/dCioqSmzo2NcmtBW64QR7jrxWGiagrlRCB+d+1rq4OWq0WBoMB0dHRvX69HgtpmQcraWlAfj6Qk9N523x3WSIX9XaDRSVzpBJvd2pqgPXr5UyuEJ3TR8Y9zBoaZGA0dy5XIhH5kqP9N3NgHNRjQqNxy3tjEJOZKe9n8EJu4q4NFv2BK8FIb/NxjAn5ERGyBow1JuQT9cBgsL1bOuCTXE8GME7o8Q+oTidHXozBCyBvM3ihXnKkHtH+/TLI9vdl/L4aRfK3CsNEimIwyDnb6uquX8qNMxDx8bLctZeCGObAuFN5uZw2MpeT0zWxl8hJzhRi82f2qloXFsr7Kys997P9qcIwkeLU18vgxY9yPRnAuIt1Dszu3fLa+sMmcoEiC7EZDHJY+RLzUaRRMRWIURmcLuffG+5a0UTUJ6WkyJEX835tzx7Lfk+vtz295CEMYNyhoqLrh5iR0fXDNvtjTuQM8+kPW/xu+sM43GxWWsA4ijQstByZT0zD1UuyEdwoSwt4axTJXyoMEymSMdfT2K9lZvp0oQpzYNxBo5Fzf4Dlh2ie2BsfDxGlwbka7mZLznNXQTevsR5u1uvRHKRDSFU5pv9fFiJPFwMAgpvq0RYp58u9lUTrDxWGiRTLj3I9uYzaXXrIzq5q1GBfkbZPLn818bMMdqWxtwrJuMGiIyMIvV2K7BSraVXDq/nA/BxozxajMTENe57Vo3lg5x89LmMmUgDz/9dGbh6BcbT/ZgDjZrY6iKoq+x1PTIyylr+6rIcMdpGVhba4eJz5x1aExWv5jfgS69+nlhbgwAHXVvD4ZPWPjT925/un4avlerTEd/4OCCHzUNLTlbGSiqhP8lK9M9aB8QFbHYROB9TWenb5q1e/VbvKxpQCdDqgvBxt12UhuLQYF+qALe/WozVB2/dGp2ywF3CMHw9cc41zn7fPasjYGG7edU8+fjDokBTRdRSJSbREfspWrqd1/bOsLKCgwGuJvB5P4s3Ly8PkyZOh0WgQHx+POXPmoLCwsMfnbdiwAZdffjnCw8MxevRobNmyxdNN7RV7y0MPHAA++UR2NJ5Y/nrqFLBuHfDaa8Dq1cC77wJbtnh2OapdVqtOuvjwwy4Z7Mbg5Xz/NOif0mPAuBSvLav1Z90tN966Fbh4EUhOllMtPXX41jVkoqLgvdU/NkoLZK/Nwdi4cibREimJMdfTeqTFPLE3Pl4e5yUeD2AKCgqQm5uLvXv3Ytu2bWhtbcWMGTPQ2Nho9zl79uzBLbfcgrvuugsHDhzAnDlzMGfOHBw5csTTzXWaEMDZs8C2bXJvmmHDLDuIlBS558qpU7Y7iN4sfz14EHj+eeBf/wKOHpV9xYkTwFdf+aDzt7HqxMS4oeXdd1sGMZmZpuDlq+V6BA3ReXVZrb9yd8DhsxoydkoLBJcW46dLs/D/Msvx61/LnJdZsxi8EPk1rVZ+eyoo6DpNpNPJ+71YxA7wwhTS1q1bLW6vWbMG8fHx2LdvH6ZOnWrzOX/5y1+QnZ2NRx55BACwdOlSbNu2Da+++ir+9re/2XxOS0sLWlpaTLfr6urc9A7sMw7xHz0KfPml3Nm2tVUGMcbVIKGh8lvyqVNyFsV6Os/V5a+nTskRl5IS2akZ8yOMU0mAlyuzdjNFZJEDodV2mVL4+v58i3wIoGvH2peSOp0JOBw5L47UkHH76p8ehptVxcWI/WUWYgsKgP7eqxtBRL2g1doPULxY/8XI63VgDAZZ9yGum/WeX3zxBaZPn25x38yZM/HFF1/YfU5eXh60Wq3povPwki7zIf6ICBmYxMTIUZh9+zq/zWo0wKBBciO5ixctX8PV6p9CyGC3okIGLxERQFCQ7IiSkoALF+SltNSLlVkdLXIkRJcphYxVOQg/07XQn18WZ/MCdxet80kNGT8cbiaiwOLVAKajowOLFy9GZmYmRo0aZfe4qqoqJCQkWNyXkJCAqqoqu8957LHHYDAYTJdyD1a+tR7ij4mRHUBQkAwgGhuB48flcSqVDGCio2XA4Y7qn+fOyZGXiIiunY5KJV+zrs5yNMYreipyBFguq92yG4YBaYg8XYyMJ7K6BDF+V5zNS9wdcPikhL4fDjcTUWDxagCTm5uLI0eOYN26dW5/7bCwMERHR1tcPMV6iN/4ZbO2Vj4eGwucOSNnVYSQQcSMGXL1iDsSF5ubgY4OGcCYzZqZhIXJEZh+/XzQ+RtXnZg5syIftedVEFajMdHZGfjmBT3O909DZNWlIOasTAL2171phJCjaSdPymtP5Oe4O+DwWQl9rdb+sHJKCoMXIuoVry2jXrRoETZv3oydO3cipYe5ssTERJw+fdrivtOnTyMxMdGTTXSY9RC/SiX75Npa2blotfLx8+dlbkFsLDB9OpCY6J7lzuHh8jUNBtmJWq9wam6WAUxqqg86fxurTkLuysHWez/EzJB4aIYAwZemFFQArpipw8dn9Zi5LAttUfFoCdWgocE/l9V6q46KMeA4fVoGGLaK1jl7Xowl9I3tP31a5mclJclAOjS0c8SQiEgJPB7ACCFw//33Y+PGjdDr9Rg6dGiPz5kyZQq2b9+OxYsXm+7btm0bpkyZ4sGWOs58iD8qSt4XFwdMnCgHGMrL5RTOhQvyi6axgwDck4waFwcMGSJzZs07tbAwGbwUFQFDh8qFP17tkMwSdusGpuE/8/Lx8/U5iKkuxo2v/QLvzf8Q4QlaTAtOgbG/T0oCpt6mw76BBSip0aD+jBZhYfKcebsOTHf1dLxdR8VWwNHb82JeQr+0VLa9thbYubOPVoYmIkXzeCXe++67D2vXrsWmTZuQnp5uul+r1UJ9aQhj/vz5SE5ORl5eHgC5jHratGlYtmwZbrzxRqxbtw7PPfcc9u/f323ujDlPVuIVQtZasbUvTUcHcOiQzHkZOFB2eBcvur+DMHaoZWUyUDIYOpN3dTpgwQJg3Lje/xyHVVTIiKlYlol/+249EifroD5bjownshBZden+3xQg+eqULqujfF2Mr7vRlcRE+5+3pyvIeuK8dLclQZ+pDE1EfstvKvGuWrUKAJCVlWVx/+rVq7FgwQIAQFlZGYKCOtNxMjIysHbtWvzxj3/E448/jhEjRuCDDz5wOHjxtJ6G+KOiZI5BVZXnvq2bf0MvLZXfpIOC5LTRtGkycdirLiUCtXcA792thyZNB5UKaB6ow55n9ch4Igst2njEDdHYXAKsUvluqXRPoytXX+3eZc3OcPd5sU5A90RlaCIib+BeSL3Q3dYBZ85459u6r0cuLBgMqPyhHu/uTkFqqkwiNgo/W4E2tQYt4VqUlAC//rWsJOtr3Y2mGT+v/v3lOR461PI9GbW3w6/eU3dqaoD16+VIi3H60xw3VCQiX/ObEZhAZp5TYAwghAA2bPDet3VvjVw4FChptQhN0yLsG8v8IABoHiATt5sa/GtptCNF44y7I1i/JyOby5r9dOdtnxS1IyLyAAYwvWQdQJw86fsOwt2jMs6svjEuAbY3olFZKUeg/GVptCMdenCw/IwrKx18Tz3svI2sLLnu3gd1UGwloJvrq7V3iEh5GMC4ma87CHcv9XV29Y0nlgB7kiOfV3i4XGH25ZcOvidHt1Wor/d6AKO0AJOIyB6vbyUQ6NxdhMyZwmnd7WDsyuaOrm4qaEwwTk93T+E+TzCe16YmeY5sbbZp/nldcYUT78nBbRVEcorHi+JZ81lROyIiN2MSrwd0t0w1NtbxTtyZ0RRHklGdTR7ubcKnXyUYm7E+r01NcsVYbKw8R919Xk69J+sRF8AUvFQG67xSFM8eZ3+3/PFzJKLAxCReH3KlCJl1J9HSIlMkHJ26MRYni4qS/w4JkXmiKpXrycO9Tfj05dJoe+wFl83N8r7S0s5pJVufl1PvybitgtnO28jPR2WwzqtF8WwxT0BvapIXtbprRd6qQgO+21uPHy6kdA102n2XjExExADGQ2ytULL3zdX623BoqOzIjMP9jtTqKC0FDhyQtWDa22UAM3AgMGyY/LnOJA8bg6naWqC1VRbHs7VpsMcTPt28kqe7GigTJwI//ijr51x3nTxfvR5psLGtgsjJwdE/6XH+vM69dVhcOFcqlSyy+O23tkdiVHUGBM3KxkRDNRqW6CFSdaZAq+FYOX71ahaCk3yTjExExBwYDzJ+W09Oltf2ghfrvJXgYODIEfmYcYNI89c0H00xvsauXZ0jLwkJQGSkzK3Yt6/zW7YjwUZlpZyKWr8e2LZN5nrs2CGnk8x5fLNF40qeadNkIGCuvFzen50tj3NQT0umBw2SwY1abf/zcpj59FFaGrB7N5CWBlVxMSY9koVhoeU9LrN3mIvnqqecqd1b6xFqqEZMTTGmP5uFyHPliIoCRmnLMXNZFoJLiyGqq2XgRETkZQxgfMhekmxoqOxILl6U/Z91lpJaLb8tNzd3vkZrK3DllTJQUankMUlJQGOj/FZ/6lTPwYZ1hzZ0qHzN+np5f3m5FxM+rVfyGDtm88DAyc7TkSkx43ntlYqKLgm7yMgA9Hq0DUmD9mwxpv+5c+ftXrfBgXPVXlWNyh/qTcnCPSVonzwJ7PghBfqn9GhM7NwtPPbYHmT+MQsxNcUwDEjD+Y16+ztOExF5EAMYH7I3IhASIoOYyEjbfbT5aIrxNQYNktNFkZEyEGlqkp2UWg0cPSpfr7tgw16HptPJnAyNRo4KnTjhpRVFDq7kcabzNF8ybYvbpsQubatgaqOxDoxOh/oP9TAMSEOTJh5t6q7zctZtcGgVWg/nyrg31bu7U7B+vRxhO3q0+9GouDg55VinlVtBGIOYax/NlPtaJaRhw316XOivs9EgIiLPYw6MD9kbEdBoZP5KebkMIlpbOx+zrtVx6lTnaxhzOYyDE+fPy+f37y/zSLsLNrqbXunfH/jpT2Unev318hivrETR6WTHbAxajMmw1oGBg7xWA0WrlXkhNnJSYkbrsOPFAhyr0GBwhBbmp9C6DY6uFBICOBehQ+s6PQbOzUI/s3NVNzAN6y7tTZVqliz8/fdyJM3e74Qx56m+HogdrMOB3+Xj2kc7k5H33JuP1ngdC94Rkc8wgPEhe0XUVCo5mlJVJb91X7wop25sFU6zfo24OPl4fb0MfC5eBNragCFDum9LT9MrERFyZCg21oWVRc4mmJofb2slz6pVTgcvgJeL7Gm1NhNbVSrgihkpKP2o+zZUVTlWQNAyyNFh8K/y8V8vdZ6r/8zLR+JkXZdk4W+/la9jL0E7OFgOIp07B4wIL8f4ly2TkSe/koOgF/WIi+MIDBH5BqeQfKi7onexsbKDGjVKBiD2CqfZeg2VCoiOlo81NMjgpadRBY9Nr1xKMBXTpqH2ULnlVIitBFPrhFQbK3nwi18A333nZEMkfyiy11MbEhMdKyB46pRlztLIqHJcn295rn6+Pgfqs5aJvcYAWaUCjh+3XcCvqgqYMkUGL1c9mmWaNtq2ZDfO909DTE0xpi3JgqrCKmmYiMhLOALjQz2NCKSmAjNnysDB3lJsd40qeGx6pb4ebZXVCC4tRtDPsvDRfXq0Jupwmboc05bIlSzG46DVWiakXnutfKysTDaura1zzmzWLLn0yoWRGGeWuHtKd22oqel5g8nSUqCurjPIUZ8tR8afshBZLXNe3rkhHzf9KwcDq2Xy7Z5n9Wge2HmuIiLkCEtkpPy9SUyUp7e+XrYpORmYcUUF+v8pC8GXEnY3LNSjNV6HoBf1nZ9dVhZQUMBEXiLyOlbi9QPu2L/IXa/hjgrC1q+582257DamRn6L33NvPia/koOYmmK0DUlD8Of6rhseXnutfDOAzFAODu4MZAD577S0gOw8T56UO5qnpsqRF2vt7XIAKihIHjOguQIZj0+ToySJadjzrB4n2nT4dnM58r7IQvTZS/c/V2DaFdxYRXnqVPl7s3evDIIBGdhMmQJcf5UBiQuyIaqrcX6jTNg1BVoVvt2UkogCFyvxKog7RgTc9RrOVhDujnFl08kgHb5arkfmH+VUxPVLZI7G+f5p2LdEj5+m6CySWaHTyaUyEyfKaOzUKXm/MXkX6Ow8bSVwKJwjG0waCxaq1UCbSoMWbTwAmEZaBrYBFxN0eP02PX77bhZatJ2rnsxH1GJjZa5UYqLc70mjkbFiVRWwZbcWs9ZsRWJkPWJTUhBr3gidTgaPrMRLRD7CERjqwl1731jvpRR7bI/FSpZtS3bjx4EZuP56OaXR5Wd98omcQzPavVvWUwFcqsSrFI7sa5WUJIscxsbKcxvcaEBwU73FCEtJiZwiCj9bgbghGgT311qMqM2cKas3u3P/LCKi3uIITADz9OZ67trDyHxlU/iZritZrl6Zg0+n6/Evgw5qtdW0V1s5cO+9li+Yk9O5fDrApo3MOZLXNG2aZfDRFqlFW6QM5owjLGPGAOPHAwcOpMipxRLLEbXQ0J5zbZzdP4uIyFsYwCiMO3JdvMU4FaKqKEfGs1mmHI0Dv8vH2BdzEH2mGL/7MAvbx+gRaWufndJLBevy82XwYizS5kINGKVxZDpPpeo5eTspSV5sBbwnT/Zus04iIl/iFJKCdJdkGxPjnV2MnSEEsOMfFZj40DSZwHspwbRpgA4/bC/HbW9kIemCZYJp2JkKXPV7ebxIS4PKGKxY7y0UgMm7tvQ02tabgNZ6is+aMdF37lyOwBCR93AKKcB0t5Nyr3Yx9iCVCrjyGg0uauNxHkDBE3qIOB2qq4AvKnQ4O0ePJ7ZlodUswbQ9QoO22HgYVEDHRj1izcrwm6ryBmjyri09Tef1Jnnba5WJiYg8gAGMQvS0k7K/5iskpmtRtWUr9u2tx6kLKWgpkaNGcXHAZVN02Du9AG1qjSl/oy1Si71LtqLqx3rc0L/vrnxxJs/J1Zwlr1YmJiJyMwYwCuHITso95St4OvnXnsR0LRIu02LcpZ994QKwbZtsc3NU12mg+iAtWhO0tqv+9oFpI2/mObl76TwRkbcwgFEIR2qDdFfq39fJv+ajBEIAP/zgm6kLXwVxjrKX52S9B5I7+UNlYiIiZzGAUYje5Cv0plP0RIfvq6kLXwdxPenokGk+paXAiBGyhotK5Z08J3ctnSci8hYGMArhaqffm+RfT3b43p668MXIhrPt0+uBTZvkrt/V1cDAgXLTRWPQ6K95TkREvsAARkFc6fRdTf71RofvrakLf1/BZTzXpaUyeElJkeX9T56UbZ44UZ4X1mUhIurEAEZhnO30XUn+9WaH742pC39ewWV+rkeMkCMvra2XqheHy+Dm+HE5wtZTnhMRUV8S5OsGkPOMnX5ysrzuLogwT/61xVan6EyHrwSOBHEtLb4Z2TA/19HRssRNba0MbFQqGbicOQPU1clgZvBg1mUhIgIYwAQ8Y/JvZaXsFM0Zk3+tO0V/7vBd4UoQ5y3m51qlkkWGIyPl59LUJKeUGhqAH39kXRYiInMMYAKcMfk3JkZO/TQ0AO3t8rqoyHan6M8dvitcCeK8xfpcx8XJnJeUFKCxUW663doKXH45kJ3tH6uliIj8AXNg+gBnk38DrcR8b1ZweTrB2Na5jouTbaqrkyMvl18OzJsHBPHrBhGRCQOYPsKZ5N9ALDHvbBDnrZox3Z3r6mogNVVu/8TghYjIEnejJrs83Yn7oiquIz/TF7t++3uRPSIib3G0/2YAQ93yVJDhrx22EMCWLfanz4qK5KiNJ2rG+Ps2B0RE3uBo/80pJOqWJ+q0+HNVXF/WjGE5fyIix3FmnbzKukheVBTQr19nkbzz5+XjvhoXDLQl5EREgYoBDHmVu4vkCQHU1Miy+zU1vQ98Am0JORFRoOIUEnmV9QiHEEB9vax1EhICREQ4PsLhiTyaQFtCTkQUqBjAkFeZj3BcvCj3+TlzpjOAiYqSwUFPIxyeyqMJxCXkRESBiFNI5FXGEY7vvwe++UZO/URGAgkJcvTlhx+Aqio5omKPp/NojDVj0tPla5WUyOv0dFbDJSLyFxyBIa9SqYDx44Ft2+TUz/DhckSmpUUGCUOGyFGOAwds58kA3lkp5Oyu30RE5F0MYMjrwsKAxEQgNFTmvxgMcvooJUVuZhga2n0A4shKodOne79SiMuaiYj8l8enkHbu3InZs2dj0KBBUKlU+OCDD3p8zsqVKzFy5Eio1Wqkp6fjH//4h6ebSV5kHNGYMgW49trOy8SJcpSjp6XKXClEREQeD2AaGxsxduxYrFy50qHjV61ahcceewxLlizBd999h6effhq5ubn497//7eGWkrcYA5DmZiA6Wo5yREd3Ts/0FID48+7SRETkHR6fQrrhhhtwww03OHx8fn4+Fi5ciHnz5gEA0tLS8PXXX2P58uWYPXu2p5pJXtTbpcpcKURERH6XA9PS0oJwq6/earUaX331FVpbWxESEmL3eS1mS1fq6uo82k5ynTsCEGd3lyYiosDidwHMzJkz8cYbb2DOnDmYMGEC9u3bhzfeeAOtra04e/Yskuz0THl5eXj66ae93FpylTsCEK4UIiLqu7y6G7VKpcLGjRsxZ84cu8c0NTUhNzcX+fn5EEIgISEB//3f/43nn38eVVVVSEhIsPk8WyMwOp2Ou1H7Oe7ATERE5hzdjdrvCtmp1Wq8+eabuHDhAkpKSlBWVobU1FRoNBoMHDjQ7vPCwsIQHR1tcSH/Z1yqnJwsrxm8EBGRI/xuCskoJCQEKSkpAIB169bh5z//OYKC/C7eIiIiIh/weADT0NCAoqIi0+0TJ07g4MGDiIuLw+DBg/HYY4/h5MmTplovP/zwA7766itcffXVqK2txYoVK3DkyBG89dZbnm4qERERKYTHA5hvvvkGP/nJT0y3H3zwQQDA7bffjjVr1qCyshJlZWWmx9vb2/HSSy+hsLAQISEh+MlPfoI9e/YgNTXV000lIiIihfBqEq83OZoERERERP5DsUm8RERERD1hAENERESKwwCGiIiIFIcBDBERESkOAxgiIiJSHL8tZNdbxsVV3NSRiIhIOYz9dk+LpAM2gKmvrwcA6HQ6H7eEiIiInFVfXw+tVmv38YCtA9PR0YFTp05Bo9FA5cYNdoybRJaXl7O+jIfxXHsPz7X38Fx7D8+197jzXAshUF9fj0GDBnW7hVDAjsAEBQWZ9lLyBG4Y6T08197Dc+09PNfew3PtPe46192NvBgxiZeIiIgUhwEMERERKQ4DGCeFhYXhqaeeQlhYmK+bEvB4rr2H59p7eK69h+fae3xxrgM2iZeIiIgCF0dgiIiISHEYwBAREZHiMIAhIiIixWEAQ0RERIrDAMaGlStXIjU1FeHh4bj66qvx1VdfdXv8hg0bcPnllyM8PByjR4/Gli1bvNRS5XPmXL/++uu47rrrEBsbi9jYWEyfPr3Hz4Y6Oft7bbRu3TqoVCrMmTPHsw0MIM6e6/PnzyM3NxdJSUkICwvDZZddxr8jDnL2XP/P//wP0tPToVarodPp8Lvf/Q7Nzc1eaq0y7dy5E7Nnz8agQYOgUqnwwQcf9PgcvV6PCRMmICwsDMOHD8eaNWvc3zBBFtatWydCQ0PFm2++Kb777jvxm9/8RsTExIjTp0/bPH737t2iX79+4vnnnxdHjx4Vf/zjH0VISIg4fPiwl1uuPM6e61tvvVWsXLlSHDhwQBw7dkwsWLBAaLVaUVFR4eWWK4+z59roxIkTIjk5WVx33XXipptu8k5jFc7Zc93S0iImTZokZs2aJXbt2iVOnDgh9Hq9OHjwoJdbrjzOnuu3335bhIWFibffflucOHFCfPzxxyIpKUn87ne/83LLlWXLli3iiSeeEO+//74AIDZu3Njt8cXFxSIiIkI8+OCD4ujRo+KVV14R/fr1E1u3bnVruxjAWLnqqqtEbm6u6XZ7e7sYNGiQyMvLs3n83LlzxY033mhx39VXXy0WLlzo0XYGAmfPtbW2tjah0WjEW2+95akmBgxXznVbW5vIyMgQb7zxhrj99tsZwDjI2XO9atUqkZaWJi5evOitJgYMZ891bm6u+OlPf2px34MPPigyMzM92s5A4kgA8/vf/15ceeWVFvfNmzdPzJw5061t4RSSmYsXL2Lfvn2YPn266b6goCBMnz4dX3zxhc3nfPHFFxbHA8DMmTPtHk+SK+fa2oULF9Da2oq4uDhPNTMguHqun3nmGcTHx+Ouu+7yRjMDgivn+sMPP8SUKVOQm5uLhIQEjBo1Cs899xza29u91WxFcuVcZ2RkYN++faZppuLiYmzZsgWzZs3ySpv7Cm/1iwG7maMrzp49i/b2diQkJFjcn5CQgO+//97mc6qqqmweX1VV5bF2BgJXzrW1Rx99FIMGDeryH4UsuXKud+3ahb///e84ePCgF1oYOFw518XFxdixYwduu+02bNmyBUVFRbjvvvvQ2tqKp556yhvNViRXzvWtt96Ks2fP4tprr4UQAm1tbfjtb3+Lxx9/3BtN7jPs9Yt1dXVoamqCWq12y8/hCAwp0rJly7Bu3Tps3LgR4eHhvm5OQKmvr0dOTg5ef/11DBgwwNfNCXgdHR2Ij4/Ha6+9hokTJ2LevHl44okn8Le//c3XTQs4er0ezz33HP76179i//79eP/99/Gf//wHS5cu9XXTyAUcgTEzYMAA9OvXD6dPn7a4//Tp00hMTLT5nMTERKeOJ8mVc2304osvYtmyZfj0008xZswYTzYzIDh7ro8fP46SkhLMnj3bdF9HRwcAIDg4GIWFhRg2bJhnG61QrvxeJyUlISQkBP369TPdN3LkSFRVVeHixYsIDQ31aJuVypVz/ac//Qk5OTm4++67AQCjR49GY2Mj7rnnHjzxxBMICuJ3enew1y9GR0e7bfQF4AiMhdDQUEycOBHbt2833dfR0YHt27djypQpNp8zZcoUi+MBYNu2bXaPJ8mVcw0Azz//PJYuXYqtW7di0qRJ3miq4jl7ri+//HIcPnwYBw8eNF1+8Ytf4Cc/+QkOHjwInU7nzeYriiu/15mZmSgqKjIFiQDwww8/ICkpicFLN1w51xcuXOgSpBgDR8FtAd3Ga/2iW1OCA8C6detEWFiYWLNmjTh69Ki45557RExMjKiqqhJCCJGTkyP+8Ic/mI7fvXu3CA4OFi+++KI4duyYeOqpp7iM2kHOnutly5aJ0NBQ8a9//UtUVlaaLvX19b56C4rh7Lm2xlVIjnP2XJeVlQmNRiMWLVokCgsLxebNm0V8fLz485//7Ku3oBjOnuunnnpKaDQa8c4774ji4mLxySefiGHDhom5c+f66i0oQn19vThw4IA4cOCAACBWrFghDhw4IEpLS4UQQvzhD38QOTk5puONy6gfeeQRcezYMbFy5Uouo/aWV155RQwePFiEhoaKq666Suzdu9f02LRp08Ttt99ucfz69evFZZddJkJDQ8WVV14p/vOf/3i5xcrlzLkeMmSIANDl8tRTT3m/4Qrk7O+1OQYwznH2XO/Zs0dcffXVIiwsTKSlpYlnn31WtLW1ebnVyuTMuW5tbRVLliwRw4YNE+Hh4UKn04n77rtP1NbWer/hCvLZZ5/Z/NtrPLe33367mDZtWpfnjBs3ToSGhoq0tDSxevVqt7dLJQTHzYiIiEhZmANDREREisMAhoiIiBSHAQwREREpDgMYIiIiUhwGMERERKQ4DGCIiIhIcRjAEBERkeIwgCEiIiLFYQBDREREisMAhoiIiBSHAQwREREpDgMYIiIiUhwGMERERKQ4DGCIyK8tX74cKpUKoaGh+Oqrr2wes2XLFgQFBUGlUuHtt9/2cguJyBdUQgjh60YQEdkjhMCMGTPw6aefIi0tDQcPHoRGozE9XllZibFjx+LMmTOYP38+3nrrLR+2loi8hQEMEfm9qqoqjB07FtXV1bjtttvwz3/+E4BlcDN8+HAcOHAAUVFRPm4tEXkDp5CIyO8lJiZizZo1piki4yjL8uXL8emnnyIkJATvvPMOgxeiPoQjMESkGA899BBWrFiBqKgorFq1CnfeeSdaW1vxwgsv4OGHH/Z184jIixjAEJFiXLx4EVOmTMH+/ftN982YMQNbt26FSqXyYcuIyNsYwBCRohw5cgSjR48GAGi1Wnz//fdITEz0cauIyNuYA0NEivLaa6+Z/l1XV4eDBw/6rjFE5DMcgSEixdi8eTNmz54NABgzZgwOHTqE+Ph4HDp0CAkJCT5uHRF5E0dgiEgRKisrcccddwAA7rjjDuzcuROpqamorq7G7bffDn4XI+pbGMAQkd/r6OhATk4Ozp49ixEjRuCVV16BVqvF2rVrERwcjI8//hgrVqzwdTOJyIsYwBCR33v++eexfft2U72XyMhIAMCUKVPw1FNPAQAef/xxi9VJRBTYmANDRH7tq6++wrXXXmu33ktHRwd+9rOfQa/X47LLLsP+/ftNAQ4RBS4GMETkt+rr6zFu3DgUFxfj+uuvx8cff2yz3ktFRQXGjh2Lc+fOYcGCBVi9erUPWktE3sQAhoiIiBSHOTBERESkOAxgiIiISHEYwBAREZHiMIAhIiIixWEAQ0RERIrDAIaIiIgUhwEMERERKQ4DGCIiIlIcBjBERESkOAxgiIiISHEYwBAREZHiMIAhIiIixWEAQ0RERIrz/wMiB28PdMmDggAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot training samples with blue color and 'o' marker\n",
    "plt.scatter(x_train, y_train, label='Training samples', color='blue', marker='o', alpha = .3)\n",
    "\n",
    "# Plot test samples with red color and 'x' marker\n",
    "plt.scatter(x_test, y_test, label='Test samples', color='red', marker='x')\n",
    "\n",
    "# 设置x轴标签\n",
    "plt.xlabel('x', fontsize=18)\n",
    "# 设置y轴标签，并旋转0度\n",
    "plt.ylabel('y', rotation=0, fontsize=18)\n",
    "# 显示图例\n",
    "plt.legend()\n",
    "# 显示图片\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 线性回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Apply linear regression\n",
    "model = LinearRegression()\n",
    "model.fit(x_train, y_train)\n",
    "\n",
    "# Make predictions\n",
    "y_pred = model.predict(x_test)\n",
    "\n",
    "# Visualize the results\n",
    "# Plot training samples with blue color and 'o' marker\n",
    "plt.scatter(x_train, y_train, label='Training samples', color='blue', marker='o', alpha = .3)\n",
    "\n",
    "# Plot test samples with red color and 'x' marker\n",
    "plt.scatter(x_test, y_test, label='Test samples', color='red', marker='x')\n",
    "plt.plot(x_test, y_pred, label='Linear Regression Prediction (for test set)', color='#03c078',linewidth = 2)\n",
    "plt.xlabel('x', fontsize=18)\n",
    "plt.ylabel('y', rotation=0, fontsize=18)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Lasso"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.linear_model import Lasso\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 应用Lasso回归\n",
    "alpha = 0.01  # 根据需要调整正则化强度\n",
    "lasso_model = Lasso(alpha=alpha)\n",
    "lasso_model.fit(x_train, y_train)\n",
    "\n",
    "# 做出预测\n",
    "y_pred_lasso = lasso_model.predict(x_test)\n",
    "\n",
    "# 绘制训练样本，使用蓝色颜色和圆点标记，透明度设为0.3\n",
    "plt.scatter(x_train, y_train, label='Training Data', color='blue', marker='o', alpha=0.3)\n",
    "\n",
    "# 绘制测试样本，使用红色颜色和X标记\n",
    "plt.scatter(x_test, y_test, label='Test Data', color='red', marker='x')\n",
    "\n",
    "# 绘制Lasso回归对于测试集的预测\n",
    "plt.plot(x_test, y_pred_lasso, label=f'Lasso Regression Prediction (alpha={alpha})', color='#2CD9F4', linewidth=4)\n",
    "\n",
    "# 设置横轴和纵轴标签，字体大小设为18\n",
    "plt.xlabel('x', fontsize=18)\n",
    "plt.ylabel('y', rotation=0, fontsize=18)\n",
    "\n",
    "# 添加图例\n",
    "plt.legend()\n",
    "\n",
    "# 显示图形\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Ridge"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.linear_model import Ridge\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Apply Ridge regression\n",
    "alpha = 0.01  # Adjust the regularization strength as needed\n",
    "ridge_model = Ridge(alpha=alpha)\n",
    "ridge_model.fit(x_train, y_train)\n",
    "\n",
    "# Make predictions\n",
    "y_pred_ridge = ridge_model.predict(x_test)\n",
    "\n",
    "# Plot training samples with blue color and 'o' marker with reduced opacity\n",
    "plt.scatter(x_train, y_train, label='Training Data', color='blue', marker='o', alpha=0.3)\n",
    "\n",
    "# Plot test samples with red color and 'x' marker\n",
    "plt.scatter(x_test, y_test, label='Test Data', color='red', marker='x')\n",
    "\n",
    "# Plot Ridge regression prediction for the test set\n",
    "plt.plot(x_test, y_pred_ridge, label=f'Ridge Regression Prediction (alpha={alpha})', color='#EE66D8', linewidth=4)\n",
    "\n",
    "plt.xlabel('x', fontsize=18)\n",
    "plt.ylabel('y', rotation=0, fontsize=18)\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
